Answer: B. y = -x + 5
Explanation:
Given the table, lets pick two consecutive points to find the slope.
(-4, 9) (-1, 6) are the first points that show in the table.
Lets plug it in the (y2-y1)/(x2-x1) expression
(6 - 9)/(-1 - -4)
=(-3)/(3)
=-1
The slope is -1
Now lets look at the answer choices and see if any of the equations with the format y= mx + b has -1 as its slope. We can eliminated a and c.
Now lets use the data in the table, and plug in a given point to see if which of the equations left are correct.
Lets use the point: (-4, 9)
For b.
y = -x + 5
9 = -(-4) + 5
9 = 4 + 5
9 = 9
B is the correct answer.
For d.
9 = -(-4) - 5
9 = 4 - 5
9 = -1
this equation is incorrect, so D is incorrect.